Abstract
A Spin-polarised cylindrically symmetric exact class of solutions endowed with magnetic fields in Einstein-Cartan-Maxwell gravity is obtained. Application of matching conditions to this interior solution having an exterior as Einstein's vacuum solution shows that for this class of metrics the Riemann-Cartan (RC) rotation vanishes which makes the solution static. Therefore we end up with a magnetized static spin polarised cylinder where the pressure along the symmetry axis is negative.
References
Garcia de Andrade, L. C. (2001). Phonon scattering in super fluids. Class. Quantum Grav. 18, 3097. Preprint.
Bedran, M. L. and Garcia de Andrade, L. C. (1983). Prog. Theor. Phys. 12, 1583.
Soleng, H. (1990). Class. Quantum. Grav. 7, 999.
Lämmerzahl, C. (1997). Phys. Lett. A 228, 223.
Soleng, H. (1992). Gen. Rel. Grav. 24, 111.
Arkuszewski, W., Kopczynski, W., and Ponomariev, V. N. (1975). Commun. Math. Phys. 45, 183.
Beessange, A. (2000). Class. Quantum. Grav. 17, 2509.
Hou, L.-S. and Ni, W.-T. (2000). Preprint physics/0009013, to appear in Mod. Phys. Lett. A.
Furtado, C., Garcia de Andrade, L. C., Carvalho, A. M., and Moraes, F. (2003). Preprint.
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Garcia de Andrade, L.C. Letter: Spin Polarised Magnetized Cylinders in Torsioned Spacetime. General Relativity and Gravitation 35, 1279–1283 (2003). https://doi.org/10.1023/A:1024406009917
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DOI: https://doi.org/10.1023/A:1024406009917